Research On The Cultivation Of Mathematical Abstraction In Senior High School Mathematics Classroom Teaching

Mathematical abstraction is the basic idea of mathematics,which is the basic way of reflecting the essence or relationship and the law of things in the real world.Mathematical abstraction plays a unique and irreplaceable role in the formation of human rational thinking,scientific spirit and the promotion of personal intelligence development.Thus,mathematical abstract literacy is the basic accomplishment that every citizen should have in modern society.Under the background of the core literacy of the subject,it is a concern of mathematics educators how to cultivate students' mathematical abstract accomplishment in the classroom teaching.This paper attempts to find out the concepts of mathematical abstract literacy,based on the basic high school mathematics standards by checking domestic and foreign literature,To determine the four factors surrounding mathematical abstraction: situations and problems,knowledge and skills,thinking and expression,communication and reflection.The author selected 230 middle school students in Harbin as the object of investigation to investigate the mathematical literacy of the students.The results of the test questionnaire show that: The type of context will directly affect the level of mathematical abstract literacy,There is no significant relationship among Mathematical concepts,propositions and mathematical methods and mathematical abstraction of the situation and the problem.There are no significant differences in the basic knowledge and basic skills of mathematics,mathematical concepts and rules,propositions have no significant differences in the study of mathematical abstraction,but the mathematical knowledge construction system is weak.In the mathematical expression of the abstract thinking of students,students of the mathematical language expression level is not as good as the mathematical thinking method of refining and perception level.Students in the exchange and reflection process to explain the concept of mathematics and mathematical concepts to explain the phenomenon of literacy is better than the use of mathematical principles to explain the natural and social phenomena.In view of the level of students 'abstract level of mathematics,the author puts forward the following strategies and suggestions for cultivating students' abstract degree in classroom teaching: Teachers develop educational goals that are conducive to the development of students' mathematical literacy,create a teaching environment conducive to the development of students' mathematical literacy,focus on the system of mathematical knowledge to promote the continuous development of mathematical abstract literacy,promote mathematical literacy to develop through the basic mathematical ideas of ideas,to Experienced mathematical abstraction process to cultivate mathematical abstract accomplishment,to Explore the Diversified Classroom Teaching Mode and Cultivating Students' Mathematical Abstraction.